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- W2263262635 abstract "Let G=ASL(2,R) be the affine special linear group of the plane, and set Gamma=ASL(2,Z). Building on recent work of Strombergsson we prove a rate of equidistribution for the orbits of a certain 1-dimensional unipotent flow of GammaG, which projects to a closed horocycle in the unit tangent bundle to the modular surface. We use this to answer a question of Elkies and McMullen by making effective the convergence of the gap distribution of sqrt{n} modulo 1." @default.
- W2263262635 created "2016-06-24" @default.
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- W2263262635 date "2013-11-25" @default.
- W2263262635 modified "2023-09-27" @default.
- W2263262635 title "Effective Ratner theorem for ASL(2,R) and gaps in sqrt{n} modulo 1" @default.
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